261289 ÷ 87 
Let's see how many times 87 fits into 261289.

Going ahead to step 1:
The number 87 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 87

Let's proceed to step 2:
If we divide 26 by 87, we get 0 and a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 26 to get 26.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 87

Step 3:
The number 87 fits into 261 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 261 from 261 and we're left with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 87

On to step 4:
When dividing 2 by 87, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 87

Advancing to step 5:
When dividing 28 by 87, we get 0 with a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 300.0
The remainder is 28 after subtracting 0 from 28.
Fetch the next digit (9) from the dividend, attach it to 28 and continue: 289 / 87

Step 6:
The number 87 fits into 289 3 times, leaving a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 3003.0
Deduct 261 from 289 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
When dividing 280 by 87, we get 3 with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 3003.3
Subtracting 261 from 280 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
190 divided by 87 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 3003.32
If we subtract 174 from 190, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
87 can be fit into 160 1 times, resulting in a remainder of 73.
Write down 1 as next digit of the result. 
Result so far: 3003.321
If we subtract 87 from 160, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 10:
730 divided by 87 is 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 3003.3218
Subtract 696 from 730 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
The number 87 fits into 340 3 times, leaving a remainder of 79.
The number 3 becomes the next digit in our result. 
Result so far: 3003.32183
Deduct 261 from 340 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 12:
790 divided by 87 is 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 3003.321839
Deduct 783 from 790 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
If we divide 70 by 87, we get 0 and a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 3003.321839
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 14:
700 divided by 87 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 3003.32183908
Deduct 696 from 700 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 3003.32183908 with a remaining 4e-09.